1987719976800 has 1008 divisors, whose sum is σ = 7501871849472. Its totient is φ = 513794534400.

The previous prime is 1987719976787. The next prime is 1987719976829. The reversal of 1987719976800 is 86799177891.

It is a happy number.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3481120515 + ... + 3481121085.

It is an arithmetic number, because the mean of its divisors is an integer number (7442333184).

Almost surely, 2^{1987719976800} is an apocalyptic number.

1987719976800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1987719976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750935924736).

1987719976800 is an abundant number, since it is smaller than the sum of its proper divisors (5514151872672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1987719976800 is a wasteful number, since it uses less digits than its factorization.

1987719976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 72.

The spelling of 1987719976800 in words is "one trillion, nine hundred eighty-seven billion, seven hundred nineteen million, nine hundred seventy-six thousand, eight hundred".